Estimation of spatial recharge distribution using environmental isotopes and hydrochemical data, I. Mathematical model and application to synthetic data

Eilon M. Adar, Shlomo P. Neuman, David A. Woolhiser

Research output: Contribution to journalArticle

41 Scopus citations

Abstract

A mathematical model is proposed to estimate the spatial distribution of annual recharge rates into an aquifer using environmental isotopes and hydrochemical data. The aquifer is divided into cells within which the isotopes and dissolved constituents are assumed to undergo complete mixing. For each mixing cell mass-balance equations expressing the conservation of water, isotopes and dissolved chemicals are written. These equations are solved simultaneously for unknown rates of recharge into the various cells by quadratic programming. The degree to which individual dissolved constituents may be considered conservative is tested a-priori by means of a chemical equilibrium model such as wateqf. Constituents which do not pass this test are either disregarded or suitably assigned a small weight in the quadratic program. In Part I, the model is applied to synthetic data corrupted by random noise and its sensitivity to input errors is examined. Part II* * Adar and Neuman (this volume). describes an application of the model to real data from the Aravaipa Valley in southern Arizona.

Original languageEnglish (US)
Pages (from-to)251-277
Number of pages27
JournalJournal of Hydrology
Volume97
Issue number3-4
DOIs
StatePublished - Feb 15 1988

ASJC Scopus subject areas

  • Water Science and Technology

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